Numerical investigation of resonators in a waveguide

A technique for numerically investigating resonators based on their exposure to broadband noise with a subsequent analysis of the input and output signal spectra is proposed. Resonance chambers connected with a waveguide through its wall are numerically investigated using both linear (linearized Euler equations) and nonlinear (Euler and Navier-Stokes equations) models. The general features of the linear resonance and the influence of nonlinear effects and dissipation on sound-absorbing properties are studied. The dependence of the resonator parameters on the presence of an axial flow and the boundary layer thickness is investigated for the model based on the Navier-Stokes equations.